Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-02T20:59:30.715Z Has data issue: false hasContentIssue false
  • English
  • Français

Coupled interactions of shock-wave structure with laminar boundary layers in ionizing-argon flows

Published online by Cambridge University Press:  19 April 2006

W. S. Liu ,
K. Takayama  and
I. I. Glass
W. S. Liu
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada Present address: Atomic Energy of Canada Research Company, Pinawa, Manitoba, Canada ROE 1LO.
K. Takayama
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada
I. I. Glass
Affiliation:
Institute for Aerospace Studies, University of Toronto, Ontario, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

Analyses are made of the mutual interactions between shock structure and the sidewall laminar boundary layer and their effects on the quasi-steady flat-plate laminar boundary layer in ionizing-argon shock-tube flows. The mutual interactions are studied using effective quasi-one-dimensional equations derived from an area-averaged-flow concept in a finite-area shock tube. The effects of mass, momentum and energy nonuniformities and the wall dissipations in the ionization and relaxation regions on the argon shock structure are discussed. The new results obtained for shock structure, shock-tube laminar side-wall and quasi-steady flat-plate boundary-layer flows are compared with dual-wavelength interferometric data obtained from the UTIAS 10 × 18 cm Hypervelocity Shock Tube. It is shown that the difference between the results obtained from the present method and those obtained by Enomoto based on Mirels’ perfect-gas boundary-layer solutions are significant for lower shock Mach numbers (Ms ∼ 13) where the relaxation lengths are large (∼ 10cm). In general, the present results agree better with our experimental data than our previous results for uncoupled ionizing flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 3 , 15 April 1980 , pp. 513 - 530
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Brabbs, T. A. & Belles, F. E. 1971 In Proc. 8th Int. Shock Tube Symp. (ed. S. L. Stollery, A. G. Gaydon & P. R. Owen), p. 24/1. London: Chapman & Hall.
Enomoto, Y. 1973 J. Phys. Soc. Japan 35, 1228.
Glass, I.I., Liu, W. S. & Tang, F. C. 1977 Can. J. Phys. 56, 1269.
Glass, I. I. & Liu, W. S. 1978 J. Fluid Mech. 84, 55.
Glass, I.I. & Patterson, G. N. 1955 J. Aero. Sci. 22, 73.
Hubbard, E. W. & de Boer, P. C. T. 1969 In Proc. 7th Int. Shock Tube Symp. (ed. I. I. Glass), p. 109. University of Toronto Press.
Kamimoto, G., Teshima, K. & Nishimura, M. 1972 Kyoto University Rep. C.P. 36.
Liu, W. S. & Glass, I.I. 1979 J. Fluid Mech. 91, 679.
Liu, W. S., Whitten, B. T. & Glass, I.I. 1978 J. Fluid Mech. 87, 609.
McLaren, T. I. & Hobson, R. M. 1968 Phys. Fluid 9, 2162.
Mirels, H. 1963 Phys. Fluids 6, 1201
Mirels, H. 1964 A.I.A.A. J. 2, 84.
Mirels, H. 1966 Phys. Fluids 9, 1907.
Takayama, K. & Liu, W. S. 1979 UTIAS Rep. no. 233.
Trimpi, R. L. & Cohen, N. B. 1955 N.A.C.A. Tech. Note TN 3375.